11000011011012 has 144 divisors (see below), whose sum is σ = 31108587269760. Its totient is φ = 3256921211904.

The previous prime is 11000011010977. The next prime is 11000011011019. The reversal of 11000011011012 is 21011011000011.

It is a super-3 number, since 3×11000011011012³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000011010985 and 11000011011003.

It is not an unprimeable number, because it can be changed into a prime (11000011011019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1259698 + ... + 4856630.

It is an arithmetic number, because the mean of its divisors is an integer number (216031856040).

Almost surely, 2^{11000011011012} is an apocalyptic number.

11000011011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000011011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554293634880).

11000011011012 is an abundant number, since it is smaller than the sum of its proper divisors (20108576258748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000011011012 is a wasteful number, since it uses less digits than its factorization.

11000011011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597242 (or 3597237 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11000011011012 its reverse (21011011000011), we get a palindrome (32011022011023).

The spelling of 11000011011012 in words is "eleven trillion, eleven million, eleven thousand, twelve".